Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations

• URL: http://arxiv.org/abs/2010.02064v2
• Date: Tue, 30 Mar 2021 10:37:42 GMT
• Title: Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
• Authors: Jian-jian Cheng and Lin Zhang
• Abstract summary: We propose a protocol to engineer time-dependent Hamiltonians inversely for geometric quantum computation. We show that the inversely designed Hamiltonian can fulfill the geometric gate with more economical evolution time.
• Score: 4.952211615828121
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a simple but versatile protocol to engineer time-dependent Hamiltonians inversely for geometric quantum computation. By utilizing SU(2) transformation, a speedup goal on gate operation is achieved with more freedom to design the control parameters. As an application, this protocol enables the conventional and unconventional nonadiabatic geometric quantum gates with desired evolution paths by controlling the microwave pulses in the diamond nitrogen-vacancy center system. We show that the inversely designed Hamiltonian can fulfill the geometric gate with more economical evolution time and further reduces the influence of the environment noise on gate fidelity.

Related papers

• Single-modulated-pulse two-qubit gates for Rydberg atoms with noncyclic geometric control [4.902211702175651]
  We present a convenient approach for implementing a two-qubit controlled-phase gate using Rydberg blockade. The robustness of the proposal against systematic errors will be remarkably improved due to the geometric characteristic. The proposed scheme will provide an analytical waveforms for arbitrary two-qubit gates and may have important use in the experiments of atomic arrays.
  arXiv  Detail & Related papers  (2024-02-02T03:08:56Z)
• Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search [77.34726150561087]
  We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control. We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
  arXiv  Detail & Related papers  (2023-02-28T07:36:02Z)
• Multi-squeezed state generation and universal bosonic control via a driven quantum Rabi model [68.8204255655161]
  Universal control over a bosonic degree of freedom is key in the quest for quantum-based technologies. Here we consider a single ancillary two-level system, interacting with the bosonic mode of interest via a driven quantum Rabi model. We show that it is sufficient to induce the deterministic realization of a large class of Gaussian and non-Gaussian gates, which in turn provide universal bosonic control.
  arXiv  Detail & Related papers  (2022-09-16T14:18:53Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Fast high-fidelity geometric gates for singlet-triplet qubits [1.0312968200748118]
  We show that the fast geometric gate can be realized for singlet-triplet qubits without introducing an extra microwave-driven pulse. Our scheme is particularly applied to singlet-triplet qubits to obtain fast and high-fidelity geometric gates.
  arXiv  Detail & Related papers  (2021-11-15T12:21:56Z)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)
• Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates [68.8204255655161]
  We consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates. Globally optimal control is a control which realizes the gate with maximal possible fidelity. Trap is a control which is optimal only locally but not globally.
  arXiv  Detail & Related papers  (2021-04-26T16:38:43Z)
• High-fidelity geometric quantum gates with short paths on superconducting circuits [5.666193021459319]
  We propose a scheme to realize nonadiabatic geometric quantum gates with short paths based on simple pulse control techniques. Specifically, we illustrate the idea on a superconducting quantum circuit, which is one of the most promising platforms for realizing practical quantum computer.
  arXiv  Detail & Related papers  (2021-02-06T10:13:05Z)
• Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts [4.354697470999286]
  We propose a scheme to realize geometric quantum gates with noncyclic and nonadiabatic evolution via invariant-based shortcuts. Our scheme provides a promising way to realize high-fidelity fault-tolerant quantum gates for scalable quantum computation.
  arXiv  Detail & Related papers  (2021-02-01T15:05:29Z)
• Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms [0.0]
  Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. We propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation(NNGQC), that arbitrary single- and two-qubit geometric gate can be constructed via noncyclic non-Abeliangeometric phase.
  arXiv  Detail & Related papers  (2020-05-14T13:29:09Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.